Formation/Cours

Introductory Course to Mathematical Analysis for Business and Economics.

• Integration and differential equations applied to consumers’ and producer’s surplus,


• Growth and decay models: Exponential and logistic models


• Linear models related to matrices and systems of linear equations. Leontief input output analysis


• Introduction to markov chains.

1. Integration Review and Complements (Section 14 Integration)

1.1 Differentials and Marginal Costs.

1.2 The indefinite integral

1.3 Integration with initial conditions

1.4 More formulas and Method of Integration.

1.5 From the Area under a Curve to the Definite Integral

1.6 Area between curves

1.7 Consumers’ and Producer’s Surplus

2. Matrices (1) – System of linear equations with a unique solution (Section 6 Matrices)

2.1 Introduction and Definitions

2.2 Addition and scalar Multiplication

2.3 Matrix multiplication

2.4 Systems of linear equations with a unique solution

3. Integration applied to Differential Equations (Textbook S15.5-6) Exponential Growth and Decay – Logistic Growth

3.1 Differential Equation, Separation of Variables

3.2 Exponential Growth and Decay

3.3 Logistic Growth Model and situations